Solve 218*10^-18quadx=663*10^-34*3*10^8/434*10^-9

$$218 \times 10 ^ { - 18 } \quad x = \frac { 663 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 434 \times 10 ^ { - 9 } }$$

Solve for x

$$x=\frac{9945}{47306}\approx 0.210227033$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$218\times 10^{-18}x=\frac{663\times 10^{-26}\times 3}{434\times 10^{-9}}$$

Calculate 10 to the power of -18 and get \frac{1}{1000000000000000000}.

$$218\times \frac{1}{1000000000000000000}x=\frac{663\times 10^{-26}\times 3}{434\times 10^{-9}}$$

Multiply 218 and \frac{1}{1000000000000000000} to get \frac{109}{500000000000000000}.

$$\frac{109}{500000000000000000}x=\frac{663\times 10^{-26}\times 3}{434\times 10^{-9}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{109}{500000000000000000}x=\frac{3\times 663}{434\times 10^{17}}$$

Multiply 3 and 663 to get 1989.

$$\frac{109}{500000000000000000}x=\frac{1989}{434\times 10^{17}}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{109}{500000000000000000}x=\frac{1989}{434\times 100000000000000000}$$

Multiply 434 and 100000000000000000 to get 43400000000000000000.

$$\frac{109}{500000000000000000}x=\frac{1989}{43400000000000000000}$$

Multiply both sides by \frac{500000000000000000}{109}, the reciprocal of \frac{109}{500000000000000000}.

$$x=\frac{1989}{43400000000000000000}\times \frac{500000000000000000}{109}$$

Multiply \frac{1989}{43400000000000000000} and \frac{500000000000000000}{109} to get \frac{9945}{47306}.

$$x=\frac{9945}{47306}$$